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Heuristic:Eric mitchell Direct preference optimization TF32 Matmul Precision

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Knowledge Sources
Domains Optimization, Deep_Learning
Last Updated 2026-02-08 02:00 GMT

Overview

Enable TF32 matmul precision globally for faster matrix multiplications on Ampere+ GPUs with negligible accuracy loss.

Description

TensorFloat-32 (TF32) is an internal math mode on NVIDIA Ampere and later GPUs that uses 19-bit precision for matrix multiplications. When enabled via `torch.backends.cuda.matmul.allow_tf32 = True`, PyTorch uses TF32 for all CUDA matmul operations, providing significant speedup (up to 3x on A100) compared to full FP32 while maintaining FP32-level dynamic range and FP16-level throughput. The DPO codebase enables this globally at import time in both `train.py` and `trainers.py`.

Usage

Use this heuristic always when training on NVIDIA Ampere (A100) or Hopper (H100) GPUs. The setting is applied globally before any model or tensor operations occur. It accelerates all forward passes, backward passes, and optimizer steps that involve matrix multiplications.

The Insight (Rule of Thumb)

  • Action: Set `torch.backends.cuda.matmul.allow_tf32 = True` at the top of the main training script, before any model loading or tensor operations.
  • Value: Boolean flag, set immediately after `import torch`.
  • Trade-off: Minimal precision reduction (19-bit mantissa vs 23-bit in FP32) in exchange for significant throughput gains on Ampere+ GPUs. No measurable impact on DPO training quality.
  • Compatibility: No effect on pre-Ampere GPUs (V100, etc.); they will silently ignore this setting.

Reasoning

Matrix multiplications dominate compute in transformer training (attention projections, FFN layers). TF32 reduces the mantissa from 23 bits to 10 bits for intermediate computations while maintaining full FP32 range, yielding near-FP32 accuracy with near-FP16 speed. The DPO paper's reference implementation enables this as a baseline optimization, indicating the authors found no training instability from the reduced precision.

The setting is applied in two files to ensure it is active regardless of import order:

Code evidence from `train.py:1-2`:

import torch
torch.backends.cuda.matmul.allow_tf32 = True

Code evidence from `trainers.py:1-2`:

import torch
torch.backends.cuda.matmul.allow_tf32 = True

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